Atkin-Lehner |
2- 3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
57498s |
Isogeny class |
Conductor |
57498 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
984960 |
Modular degree for the optimal curve |
Δ |
-195369803139714 = -1 · 2 · 3 · 73 · 377 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -4 6 6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-865921,310074107] |
[a1,a2,a3,a4,a6] |
j |
-27986475935881/76146 |
j-invariant |
L |
5.895079408939 |
L(r)(E,1)/r! |
Ω |
0.49125661753425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1554d1 |
Quadratic twists by: 37 |